The solution of the equation $4 (2 - x) = 4$ is:
- ✓$1$
- B$2$
- C$3$
- D$4$
Answer: A.
View full solution →Question types
Simple Equations question types
328 questions across 9 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
328
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
201 Q→02Assertion (A) & Reason (B) MCQ
11 Q→03BLANKS [1 Marks Each]
20 Q→041 Marks Question
23 Q→052 Marks Questions
56 Q→065 Marks Questions
8 Q→07case /data -based (4 Marks)
2 Q→08Match the following.
1 Q→093 Marks Question
6 Q→Sample Questions
Simple Equations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The solution of the equation $3p - 2 = 4$ is:
- A$0$
- B$1$
- ✓$2$
- D$3$
Answer: C.
View full solution →A man spends $\frac{1}{5}$ of his salary to meet pocket expenses and $\frac{4}{5}$ of the remainder to meet other expenses If his monthly savings amount to $Rs.1200$ his monthly salary is:
- A$Rs.3, 750$
- B$Rs.8, 500$
- C$Rs.7, 000$
- ✓$Rs.7, 500$
Answer: D.
View full solution →The solution of the equation $10t = -20$ is:
- A$1$
- B$-1$
- C$2$
- ✓$-2$
Answer: D.
View full solution →Mark against the correct answer in the following:
If $(2n + 5) = 3(3n - 10),$ then $n =?$
If $(2n + 5) = 3(3n - 10),$ then $n =?$
- ✓$5$
- B$3$
- C$\frac{2}{5}$
- D$\frac{2}{3}$
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $6x + 3$ is a expression in variable $x$.
Reason: Expressions are formed by performing operations like addition, subtraction, multiplication and division on the variables.
Assertion: $6x + 3$ is a expression in variable $x$.
Reason: Expressions are formed by performing operations like addition, subtraction, multiplication and division on the variables.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The equation has solution zero is $x + 5 = 5$.
Reason: This equation is satisfied at $x = 0$ as $0 + 5 = 5$
Assertion: The equation has solution zero is $x + 5 = 5$.
Reason: This equation is satisfied at $x = 0$ as $0 + 5 = 5$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If $x = 2, y = 1$ is a solution of the equation $2x + 3y = k$, then the value of $k$ is $7$.
Reason: The solution of the line will satisfy the equation of the line.
Assertion: If $x = 2, y = 1$ is a solution of the equation $2x + 3y = k$, then the value of $k$ is $7$.
Reason: The solution of the line will satisfy the equation of the line.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The value of the variable in an equation for which the equation is satisfied is called the solution of the equation
Reason: The solution for the equation $2x - 3 = 5$ is $x = 4$
Assertion: The value of the variable in an equation for which the equation is satisfied is called the solution of the equation
Reason: The solution for the equation $2x - 3 = 5$ is $x = 4$
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: An equation refers to a mathematical sentence that consists of two equal sides whose separation takes place by an equal sign.
Reason: $y + 3 = 10$ is an equation.
Assertion: An equation refers to a mathematical sentence that consists of two equal sides whose separation takes place by an equal sign.
Reason: $y + 3 = 10$ is an equation.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →If $\frac{y}{3}=\frac{7}{3}$. then $y=$…………. $\left(\frac{7}{9}, \frac{73}{3}, 7\right)$
View full solution →If $2m - 3 = 7$ then $m + 5 =………… (10, 5. 12)$
View full solution →The equation form of "Sum of $1$ and third part of $x$ gives $10$ prime prime is…………. $\left(3 x+1=10, \quad \frac{3 x}{10}=1, \quad \frac{x}{3}+1=10\right)$
View full solution →If $x=5$, then $\frac{x}{5}+2=$………… $\left(\frac{7}{5}, 3, \frac{3}{5}\right)$
View full solution →If $4(x + 2) = 2x + 18$ then $x =…………… (2. 5, 8)$
View full solution →Give the first step you will use to separate the variable and then solve the equation: $y – 4 = 4$
View full solution →Give the first step you will use to separate the variable and then solve the equation: $y – 4 = –7$
View full solution →Give the first step that you will use to separate the variable and then solve the equation $x - 1 = 5$
View full solution →Write the equations in statement form: $\frac{p}{2}+2=8$
View full solution →Write the equation in statement form: $4p – 2 = 18$
View full solution →Solve the riddle:
I am a number,
Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty!
I am a number,
Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty!
Irfan says that he has $7$ marbles more than five times the marbles Permit has. Irfan has $37$ marbles. How many marbles does Permit have?
View full solution →Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?
In an isosceles triangle, the base angles are equal. The vertex angle is $40°$. what are the base angles of the triangle? (Remember, the sum of three angles of a triangle is $180°$)
View full solution →The teacher tells the class that the highest marks obtained by a student in her class are twice the lowest marks plus $7$. The highest score is $87$. What is the lowest score?
View full solution →Set up an equation on the basis of the statement given at the end and solve it to find the unknown quantity in the equation so obtained:
Anwar thinks of a number. If he takes away $7$ from $\frac{5}{2}$ of the number, the result is $23$
View full solution →Anwar thinks of a number. If he takes away $7$ from $\frac{5}{2}$ of the number, the result is $23$
Set up an equation on the basis of the statement given at the end and solve it to find the unknown quantity in the equation:
Ibenhal thinks of a number. If she adds $19$ to it and divides the sum by $5$, she will get $8.$
View full solution →Ibenhal thinks of a number. If she adds $19$ to it and divides the sum by $5$, she will get $8.$
Set up an equation on the basis of the statement given at the end and solve it to find the unknown quantity:
Munna subtracts thrice the number of notebooks he has from $50$, he finds the result to be $8.$
View full solution →Munna subtracts thrice the number of notebooks he has from $50$, he finds the result to be $8.$
Set up an equation on the basis of the statement given at the end and solve the equation so obtained to find the unknown quantity.
when I subtracted $11$ from twice a number, the result was $15.$
View full solution →when I subtracted $11$ from twice a number, the result was $15.$
Set up an equation as per the given statement given at the end and solve it to find the unknown quantity in the equation.
If I take three-fourths of a number and add $3$ to it, I get $21.$
View full solution →If I take three-fourths of a number and add $3$ to it, I get $21.$
In an archery game, the points scored on hitting a circular region on a board is shown in the figure below.
$1.$ Which of the following equation represents Sharmistha’s score$?$
$A. 6x+ 4x= 80$
$B. 6x+ 4(x+ 5) =80$
$C. 6(x - 5) + 4x= 80$
$D. 6x+ 4(x - 5) = 80$
$2.$ How many arrows did Sharmistha shoot$?$
$A. 10$
$B. 11$
$C. 15$
$D. 30$
$3.$ Which of the following equations does $‘x= 5’$ not satisfy$?$
$A. 2x - 1 = 9$
$B. 3x+ 4 =19$
$C. 3x + 1 = 13$
$D. 4x - 3 = 17$
View full solution →$1.$ Which of the following equation represents Sharmistha’s score$?$
$A. 6x+ 4x= 80$
$B. 6x+ 4(x+ 5) =80$
$C. 6(x - 5) + 4x= 80$
$D. 6x+ 4(x - 5) = 80$
$2.$ How many arrows did Sharmistha shoot$?$
$A. 10$
$B. 11$
$C. 15$
$D. 30$
$3.$ Which of the following equations does $‘x= 5’$ not satisfy$?$
$A. 2x - 1 = 9$
$B. 3x+ 4 =19$
$C. 3x + 1 = 13$
$D. 4x - 3 = 17$
Multiple gaming tournaments can be played online. In these games, players can compete with
players from any part of the world.
In a tournament, $200$ points are awarded for a win and $20$ points are deducted for a loss.
$1.$ Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored $1120$ points.
How many matches did he play$?$
$A. 6$
$B. 8$
$C. 10$
$D. 14$
$2.$ Diksha played $16$ matches in the tournament. The number of matches won was equal to the number of matches lost by her.
How many points did she score$?$
$3.$ Drishti and Raghav also participated in the tournament.
Drishti won $10$ more matches than the number of matches she lost. Her score was $6140$ points.
Raghav lost $15$ more matches than the number of matches he won. His score was $6000$ points.
Who played more matches? Justify your answer.
$4.$ Prashant says, ‘The more you play, the more you score’.
Is his statement always true? Justify your answer.
$5.$ In a tournament, some hurdles have to be crossed to achieve the target score of $110$ points.
In a match, Shreyas crossed $18$ hurdles and scored 45 points.
Shreyas wants to win the tournament.
What is the minimum number of hurdles that have to be crossed?
$6$. Does the solution of an equation depend on the method used to solve it? Justify your answer.
$7.$ Which of the following represents an equation in one variable?
$A. \quad 5 p+3$
$B. \quad 4+2 a$
$C. \quad 5+7=12$
$D. \quad 5+4 x=9$
View full solution →players from any part of the world.
In a tournament, $200$ points are awarded for a win and $20$ points are deducted for a loss.
$1.$ Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored $1120$ points.
How many matches did he play$?$
$A. 6$
$B. 8$
$C. 10$
$D. 14$
$2.$ Diksha played $16$ matches in the tournament. The number of matches won was equal to the number of matches lost by her.
How many points did she score$?$
$3.$ Drishti and Raghav also participated in the tournament.
Drishti won $10$ more matches than the number of matches she lost. Her score was $6140$ points.
Raghav lost $15$ more matches than the number of matches he won. His score was $6000$ points.
Who played more matches? Justify your answer.
$4.$ Prashant says, ‘The more you play, the more you score’.
Is his statement always true? Justify your answer.
$5.$ In a tournament, some hurdles have to be crossed to achieve the target score of $110$ points.
In a match, Shreyas crossed $18$ hurdles and scored 45 points.
Shreyas wants to win the tournament.
What is the minimum number of hurdles that have to be crossed?
$6$. Does the solution of an equation depend on the method used to solve it? Justify your answer.
$7.$ Which of the following represents an equation in one variable?
$A. \quad 5 p+3$
$B. \quad 4+2 a$
$C. \quad 5+7=12$
$D. \quad 5+4 x=9$
| Section $'A'$ | Section $'B'$ | Answer |
| $(1) (3x+2)/(2)=3$ | $( a ) x=22$ | $(1-$_______$)$ |
| $(2) (2x-3)/(2)=5$ | $(b) x=(3)/(4)$ | $(2-$_______$)$ |
| $(3) (x-1)/(3)=7$ | $(c) x=1(1)/(3)$ | $(3-$_______$)$ |
| $(4) (4x+1)/(2)=2$ | $(d)x=2$ | $(4-$_______$)$ |
| $(5) (x-1)/(3)=5$ | $( e ) x=6(1)/(2)$ | $(5-$_______$)$ |
| $(6) (x+4)/(2)=3$ | $(f)x=16$ | $(6-$_______$)$ |
People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was $77?$
View full solution →Laxmi’s father is $49$ years old. He is $4$ years older than $3$ times Laxmi’s age. What is Laxmi’s age$?$
View full solution →Solve the equation by trial and error method: $3m – 14 = 4$
View full solution →Check whether the value given in the bracket is a solution to the given equation or not.
$7n + 5 = 19 (n = –2)$
View full solution →$7n + 5 = 19 (n = –2)$
Find a number, such that one-fourth of the number is $3$ more than $7.$
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